Nuprl Lemma : State1-exists
∀[Info,A,B:Type]. ∀[init:B]. ∀[tr:Id ─→ A ─→ B ─→ B]. ∀[X:EClass(A)].
∀es:EO+(Info). ∀e:E. (↓∃v:B. v ∈ State1(λloc.init;tr;X)(e))
Proof
Definitions occuring in Statement :
State1: State1(init;tr;X),
classrel: v ∈ X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
Id: Id,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
exists: ∃x:A. B[x],
squash: ↓T,
lambda: λx.A[x],
function: x:A ─→ B[x],
universe: Type
Lemmas :
State-loc-comb-non-empty,
single-bag_wf,
assert_wf,
bag-null_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
eclass_wf,
Id_wf
Latex:
\mforall{}[Info,A,B:Type]. \mforall{}[init:B]. \mforall{}[tr:Id {}\mrightarrow{} A {}\mrightarrow{} B {}\mrightarrow{} B]. \mforall{}[X:EClass(A)].
\mforall{}es:EO+(Info). \mforall{}e:E. (\mdownarrow{}\mexists{}v:B. v \mmember{} State1(\mlambda{}loc.init;tr;X)(e))
Date html generated:
2015_07_22-PM-00_25_01
Last ObjectModification:
2015_01_28-AM-10_08_28
Home
Index